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Finding the Fourth Proportional to 32,770.86, 45,224.43 and 17,866.86

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Solution

The fourth proportional to 32,770.86, 45,224.43 and 17,866.86 is: 24,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.86 : 45,224.43 = 17,866.86 : x
  2. Step 2: Convert to fraction form
    32,770.86/45,224.43 = 17,866.86/x
  3. Step 3: Cross multiply
    32,770.86x = 45,224.43 × 17,866.86
  4. Step 4: Simplify right side
    32,770.86x = 808,018,559.39
  5. Step 5: Solve for x
    x = 808,018,559.39/32,770.86
  6. Step 6: Final answer
    x = 24,656.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.